What is x, the length of the diagonal, to the nearest

Mathematics

1 answer:

love history [14]2 years ago

8 0

The value of x, the length of the diagonal, to the nearest whole number is 5

To get the value of x from the given diagram, we will use the cosine rule as shown:

c² = a² + b² - 2ab cos Ф

From the given diagram;

a = 6

b = 4

Ф = 55 degrees

Substitute into the formula

c² = 6² + 4² - 2(4)(6)cos 55

c² = 36 + 16 - 48cos55

c² = 52 - 27.53

c² = 24.4

c = 4.94

c = 5 (to the nearest while number).

The value of x, the length of the diagonal, to the nearest whole number is 5

Learn more on cosine rule here: brainly.com/question/7872492

You might be interested in

Can some one explain in an easy way pls

Helga [31]

What needs to be done first is to add up females and males that have passed.

42 + 14 = 56

so out of 56 students who passed 42 females passed 42/56 = 3/4 = 0.75

out of 56 students who passed, 14 males passed which turns into 14/56 = 1/4 = 0.25

check work; 0.75 + 0.25 = 1.00

NOW WE ARE DOING FAILS.

15 + 5 = 20

so out of 20 students who failed, 15 females failed so it turns into 15/20 = 3/4 = 0.75

out of 20 students who failed, 5 males failed. 5/20 = 1/4 = 0.25

check work; 0.75 + 0.25 = 1.00

i hope this helped! :)

7 0

2 years ago

You are considering a cylindrical container with a diameter of 14 inches and a height of 18 inches. Find the volume of this cont

Vsevolod [243]

Volume of a cylinder is (pi) times radius to the second power times height. <em></em><em />
Radius is half of the diameter, which would be 7.
Volume would be 2770.88<span />

3 0

3 years ago

A lake contain 900 gallons of water. The city is pumping water into the lake at a rate of 30 gallons per minute. Which expressio

boyakko [2]

Answer:

900 + 12 x 30

Step-by-step explanation:

4 0

2 years ago

Simplify (4x-6)-(3x+6)

DaniilM [7]

Answer: